Leakage Suppression for Holonomic Quantum Gates

Liu, Bao-Jie; Yung, Man‐Hong

doi:10.1103/physrevapplied.14.034003

Cited by 11 publications

(6 citation statements)

References 48 publications

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“…In other words, TQD protocols create more opportunities to optimize parameters for achieving a better result. On the other hand, many literatures are recently focusing on the quantum optimal control for different targets, such as minimizing diabatic effects, [20] suppressing the effect of dephasing, [21][22][23] enhancing robustness against decoherence, [24][25][26][27] cutting down energy consumption, [28,29] reducing the leakage error, [30] enhancing the robustness against amplitude noise or systematic error. [31][32][33][34][35] Inspired by quantum optimal control, we inversely engineer an optimal path for quantum state transfer in a three-level system based on transitionless quantum driving.…”

Section: Introductionmentioning

confidence: 99%

Fast and Robust Quantum State Transfer via Optimal Transitionless Quantum Driving

Zhang

Lin

2022

Annalen der Physik

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For the past few years, shortcuts to adiabaticity have attracted great attention since they can avoid the necessity of slow driving for adiabatic method while inheriting the partial robustness of the adiabatic dynamics. In this paper, a universal approach to implement quantum state transfer in a three-state system via optimal transitionless quantum driving is presented. The fast path is optimized for great robustness against uncontrolled systematic error by selecting appropriate experimental parameters. The robustness of the protocol is discussed via numerical simulations. Compared with conventional transitionless quantum driving and adiabatic passage, the protocol via optimized transitionless quantum driving possesses more robustness against the systematic error. Furthermore, decoherence arising from atomic spontaneous emission and dephasing only has a slight impact on the fidelity of quantum state transfer. This work opens up a new avenue for high-fidelity quantum state transfer in the case of the uncontrolled errors.

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Section: Introductionmentioning

confidence: 99%

Fast and Robust Quantum State Transfer via Optimal Transitionless Quantum Driving

Zhang

Lin

2022

Annalen der Physik

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“…Multiqubit gates can provide versatile ways to expedite conspicuously quantum algorithms, and Rydberg atoms offer a promising quantum system for implementing multiqubit gates owing to powerful and multiple interactions among them. [37,60,61] With respect to coherent control of quantum systems interacting with external electromagnetic fields, pulse engineering (PE) based on analytic, numerical, or composite methods is of great interest, employed to make operations noise-resilient with adiabatic PE, [62][63][64] to speed up adiabatic passage, [65,66] to enhance operation immunity to control errors, [67][68][69] to suppress unwanted couplings, [70][71][72] and so on. [73][74][75][76][77][78][79] Among diverse manners, periodic PE (PPE) is of wide applications in coherent control of quantum systems for exploring plentiful quantum phenomena and completing lots of quantum tasks.…”

Section: Introductionmentioning

confidence: 99%

Fast and Robust Multiqubit Gates on Rydberg Atoms by Periodic Pulse Engineering

Wang

Han

et al. 2022

Adv Quantum Tech

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The idea of periodic pulse engineering (PPE) is exploited to achieve unconventional Rydberg pumping for a robust multiqubit gate on Rydberg atoms trapped in a 2D array. By designing component parameters in PPE, fast regimes of full and partial Rydberg antiblockade (RAB) among three atoms are explored. Furthermore, through assigning appropriate components in PPE a phenomenon of RAB-based blockade emerges and then a three-qubit gate can be achieved. It is identified that two kinds of Rydberg-Rydberg interaction (RRI), van der Waals interaction and dipole-dipole Förster resonance interaction, are both applicative for implementing the proposed scheme. Different from recent schemes of Rydberg atom multiqubit gates, the operated atoms are indistinguishable with respect to the laser field of PPE, and the present one-step scheme is essentially fast owing to the first-order dynamics where the dominant component in PPE is not degraded. In addition, the proposed multiqubit gate is robust against atomic decay and deviation of RRI strengths, because the excitation duration of atoms is short, with the total excitation number ≤ 1. This work may facilitate experimental demonstration of RAB-based gates of strongly coupled atoms.

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“…Geometric quantum computation (GQC) [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32] can work for high-fidelity quantum gates by utilizing the geometric characteristics to resist operational imperfection. The early proposals of GQC, based on adiabatic Abelian [33] or adiabatic non-Abelian geometric phases, [34][35][36][37] always suffer from the detrimental influence of decoherence due to slow operations.…”

Section: Introductionmentioning

confidence: 99%

Realization of Deutsch–Jozsa Algorithm in Rydberg Atoms by Composite Nonadiabatic Holonomic Quantum Computation with Strong Robustness Against Systematic Errors

et al. 2021

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Deutsch–Jozsa (DJ) algorithm, as the first example of quantum algorithm, performs better than any classical algorithm for distinguishing balance and constant functions. Here, a scheme to implement the DJ algorithm in Rydberg atoms using the composite nonadiabatic holonomic quantum computation (NHQC) is presented. Taking advantages of composite loops and holonomic features to resist systematic errors, the scheme of composite NHQC works more robustly compared with the standard dynamic counterparts. By exemplifying the DJ algorithm implementation, the performance of single‐loop NHQC‐, composite NHQC‐, and the dynamic counterpart‐based processes are compared both analytically and numerically, indicating the best robustness of composite scheme to systematic errors. In addition, the combination of composite NHQC and quantum algorithm also provides an alternative pathway for the realization of robust quantum algorithm in the future.

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Leakage Suppression for Holonomic Quantum Gates

Cited by 11 publications

References 48 publications

Fast and Robust Quantum State Transfer via Optimal Transitionless Quantum Driving

Fast and Robust Quantum State Transfer via Optimal Transitionless Quantum Driving

Fast and Robust Multiqubit Gates on Rydberg Atoms by Periodic Pulse Engineering

Realization of Deutsch–Jozsa Algorithm in Rydberg Atoms by Composite Nonadiabatic Holonomic Quantum Computation with Strong Robustness Against Systematic Errors

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